An approximate solution of hypersingular integral equations

• Autores: I.V. Boykov, A.I. Boykova
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 60, Nº. 6, 2010, págs. 607-628
• Idioma: inglés
• DOI: 10.1016/j.apnum.2010.03.003
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• Resumen

  • This paper describes a spline-collocation method and its justification for the solution of one-dimensional hypersingular integral equations, polyhypersingular integral equations, and multi-dimensional hypersingular integral equations. Illustrative examples demonstrate the accuracy and efficiency of the developed method.